Final answer:
The equation of the line that passes through the points (3, 7) and (5, 11) is y = 2x + 1.
Step-by-step explanation:
The equation of the line that passes through the points (3, 7) and (5, 11) can be found using the slope-intercept form of a linear equation, which is given by y = mx + b. The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1). Substituting the values of the points into the formula, we get: m = (11 - 7) / (5 - 3) = 4 / 2 = 2. Substituting the slope and one of the given points into the equation, we have: y = 2x + b. Using the point (3, 7): 7 = 2(3) + b. Solving for b, we get: b = 7 - 6 = 1. Therefore, the equation of the line is: y = 2x + 1.